Statistics Done Wrong: The Woefully Complete Guide


Alex Reinhart - 2013
    Politicians and marketers present shoddy evidence for dubious claims all the time. But smart people make mistakes too, and when it comes to statistics, plenty of otherwise great scientists--yes, even those published in peer-reviewed journals--are doing statistics wrong."Statistics Done Wrong" comes to the rescue with cautionary tales of all-too-common statistical fallacies. It'll help you see where and why researchers often go wrong and teach you the best practices for avoiding their mistakes.In this book, you'll learn: - Why "statistically significant" doesn't necessarily imply practical significance- Ideas behind hypothesis testing and regression analysis, and common misinterpretations of those ideas- How and how not to ask questions, design experiments, and work with data- Why many studies have too little data to detect what they're looking for-and, surprisingly, why this means published results are often overestimates- Why false positives are much more common than "significant at the 5% level" would suggestBy walking through colorful examples of statistics gone awry, the book offers approachable lessons on proper methodology, and each chapter ends with pro tips for practicing scientists and statisticians. No matter what your level of experience, "Statistics Done Wrong" will teach you how to be a better analyst, data scientist, or researcher.

How to read and do proofs


Daniel Solow - 1982
    Shows how any proof can be understood as a sequence of techniques. Covers the full range of techniques used in proofs, such as the contrapositive, induction, and proof by contradiction. Explains how to identify which techniques are used and how they are applied in the specific problem. Illustrates how to read written proofs with many step-by-step examples. Includes new, expanded appendices related to discrete mathematics, linear algebra, modern algebra and real analysis.

Male vs. Man: How to Honor Women, Teach Children, and Elevate Men to Change the World


Dondré T. Whitfield - 2020
    Men look to be of service. Emmy Award–nominated actor best known for his role on Queen Sugar and transformational speaker Dondré Whitfield challenges us to be real men in this provocative look at the power found in serving others.Too many males abuse the power they have.Often those males grow up without healthy role models and so, while they look like men, they act like boys. Only now there are adult consequences to their actions.And many of us are caught in the shifting cultural ideas about manhood, unsure of how to make sound decisions or truly be a man. Every day we find evidence that the role of men at home, at work, and out in the world is deeply misinterpreted.In Male vs. Man, Dondré Whitfield equips us to become men rather than simply "grown males." Men are healthy and productive servant-leaders who bring positive change to their communities. Males are self-serving and stuck in negative cycles that we hear and read about daily. They create chaos instead of cultivating calm.Male vs. Man is an uplifting playbook for men who want to level up. It will help men and women alike understand what real manhood is, based on biblical wisdom as well as hard-earned lessons from someone who has been there. With practical guidance and a strong spiritual foundation, Dondré shows how to cultivate the life-changing spiritual, emotional, and psychological attributes of servant leadership at home, at work, and in our communities.

Math Through the Ages: A Gentle History for Teachers and Others


William P. Berlinghoff - 2002
    Each sketch contains Questions and Projects to help you learn more about its topic and to see how its main ideas fit into the bigger picture of history. The 25 short stories are preceded by a 56-page bird's-eye overview of the entire panorama of mathematical history, a whirlwind tour of the most important people, events, and trends that shaped the mathematics we know today. Reading suggestions after each sketch provide starting points for readers who want to pursue a topic further."

How to Solve It: A New Aspect of Mathematical Method


George Pólya - 1944
    Polya, How to Solve It will show anyone in any field how to think straight. In lucid and appealing prose, Polya reveals how the mathematical method of demonstrating a proof or finding an unknown can be of help in attacking any problem that can be reasoned out--from building a bridge to winning a game of anagrams. Generations of readers have relished Polya's deft--indeed, brilliant--instructions on stripping away irrelevancies and going straight to the heart of the problem.

Failure to Disrupt: Why Technology Alone Can't Transform Education


Justin Reich - 2020
    Much-publicized experiments, often underwritten by Silicon Valley entrepreneurs, have been launched at elite universities and in elementary schools in the poorest neighborhoods. Such was the excitement that, in 2012, the New York Times declared the "year of the MOOC." Less than a decade later, that pronouncement seems premature.In Failure to Disrupt: Why Technology Alone Can't Transform Education, Justin Reich delivers a sobering report card on the latest supposedly transformative educational technologies. Reich takes readers on a tour of MOOCs, autograders, computerized "intelligent tutors," and other educational technologies whose problems and paradoxes have bedeviled educators. Learning technologies--even those that are free to access--often provide the greatest benefit to affluent students and do little to combat growing inequality in education. And institutions and investors often favor programs that scale up quickly, but at the expense of true innovation. It turns out that technology cannot by itself disrupt education or provide shortcuts past the hard road of institutional change.Technology does have a crucial role to play in the future of education, Reich concludes. We still need new teaching tools, and classroom experimentation should be encouraged. But successful reform efforts will focus on incremental improvements, not the next killer app.

The Shift: The Next Evolution in Baseball Thinking


Russell A. Carleton - 2018
    It's a thinking game. It's also a shifting game. Nowhere is this more evident than in the statistical revolution which has swept through the pastime in recent years, bringing metrics like WAR, OPS, and BABIP into front offices and living rooms alike. So what's on the horizon for a game that is constantly evolving? Positioned at the crossroads of sabermetrics and cognitive science, The Shift alters the trajectory of both traditional and analytics-based baseball thought. With a background in clinical psychology as well as experience in major league front offices, Baseball Prospectus' Russell Carleton illuminates advanced statistics and challenges cultural assumptions, demonstrating along the way that data and logic need not be at odds with the human elements of baseball—in fact, they're inextricably intertwined. Covering topics ranging from infield shifts to paradigm shifts, Carleton writes with verve, honesty, and an engaging style, inviting all those who love the game to examine it deeply and maybe a little differently. Data becomes digestible; intangibles are rendered not only accessible, but quantifiable. Casual fans and statheads alike will not want to miss this compelling meditation on what makes baseball tick.

Elements of Partial Differential Equations


Ian N. Sneddon - 2006
    It emphasizes forms suitable for students and researchers whose interest lies in solving equations rather than in general theory. Solutions to odd-numbered problems appear at the end. 1957 edition.

Guesstimation: Solving the World's Problems on the Back of a Cocktail Napkin


Lawrence Weinstein - 2008
    More and more leading businesses today use estimation questions in interviews to test applicants' abilities to think on their feet. Guesstimation enables anyone with basic math and science skills to estimate virtually anything--quickly--using plausible assumptions and elementary arithmetic.Lawrence Weinstein and John Adam present an eclectic array of estimation problems that range from devilishly simple to quite sophisticated and from serious real-world concerns to downright silly ones. How long would it take a running faucet to fill the inverted dome of the Capitol? What is the total length of all the pickles consumed in the US in one year? What are the relative merits of internal-combustion and electric cars, of coal and nuclear energy? The problems are marvelously diverse, yet the skills to solve them are the same. The authors show how easy it is to derive useful ballpark estimates by breaking complex problems into simpler, more manageable ones--and how there can be many paths to the right answer. The book is written in a question-and-answer format with lots of hints along the way. It includes a handy appendix summarizing the few formulas and basic science concepts needed, and its small size and French-fold design make it conveniently portable. Illustrated with humorous pen-and-ink sketches, Guesstimation will delight popular-math enthusiasts and is ideal for the classroom.

The Complete Guide to Absolutely Everything (Abridged): Adventures in Math and Science


Adam Rutherford - 2021
    Our senses are not equipped to see the universe as it is, and routinely let us down in that quest—the world appears flat, the stars seem fixed in the heavens. That is why we invented math and science—the ultimate toolkit to explain how the world really works.In this book, mathematician Hannah Fry and geneticist Adam Rutherford investigate everyday mysteries (does your dog love you?) alongside the burning questions of time, space, and the origin of the universe. What will the end of the world look like, and when will it happen? What is time, and where does it come from? Approaching these questions and more with science and math rigorous and playful, Rutherford and Fry celebrate the weirdness of the cosmos, and reveal its secrets along the way.

Math Appeal: Mind-Stretching Math Riddles


Greg Tang - 2003
    Keeping an open mind, looking for unusual number combinations, using multiple skills (like subtracting to add) and looking for patterns will guarantee any child success in math. In MATH APPEAL, Tang continues to challenge kids with his innovative approach to math.

A Classical Education: The Stuff You Wish You'd Been Taught in School


Caroline Taggart - 2009
    Perfect for parents who wish to teach their children and for those who would like to learn or relearn the facts themselves, A Classical Education is informative and educational, but in a completely accessible way, including:• Latin and Greek• Logic and philosophy• Natural sciences• Art and architecture• Poetry and drama• History and Classical literatureAlso including suggestions for further reading and entertaining tit-bits of information on the classics, A Classical Education is a must for anyone feeling let down by modern schooling.

Lost in Math: How Beauty Leads Physics Astray


Sabine Hossenfelder - 2018
    Whether pondering black holes or predicting discoveries at CERN, physicists believe the best theories are beautiful, natural, and elegant, and this standard separates popular theories from disposable ones. This is why, Sabine Hossenfelder argues, we have not seen a major breakthrough in the foundations of physics for more than four decades. The belief in beauty has become so dogmatic that it now conflicts with scientific objectivity: observation has been unable to confirm mindboggling theories, like supersymmetry or grand unification, invented by physicists based on aesthetic criteria. Worse, these "too good to not be true" theories are actually untestable and they have left the field in a cul-de-sac. To escape, physicists must rethink their methods. Only by embracing reality as it is can science discover the truth.

Polar Obsession


Paul Nicklen - 2009
    Raised on Baffin Island, Nunavut, he grew up in one of the only non-Inuit families in a tiny native settlement amid the ice fields, floes, and frigid seas of Northern Canada. At an age when most children are playing hide-and-seek, he was learning life-and-death lessons of survival: how to read the weather, find shelter in a frozen snowscape, or live off the land as his Inuit neighbors had done for centuries.Today Nicklen is a naturalist and wildlife photographer uniquely qualified to portray the impact of climate change on the polar regions and their inhabitants, human and animal alike. In a wise and wonderful intertwining of art and science, his bold expeditions plunge him into freezing seas to capture unprecedented, up-close documentation of the lives of leopard seals, whales, walruses, polar bears, bearded seals, and narwhals. Bathed in polar light, his images, inspiring and amazing, break new ground in photography and provide a vivid, timely portrait of two extraordinary, endangered ecosystems.

Advanced Engineering Mathematics


Dennis G. Zill - 1992
    A Key Strength Of This Text Is Zill'S Emphasis On Differential Equations As Mathematical Models, Discussing The Constructs And Pitfalls Of Each. The Third Edition Is Comprehensive, Yet Flexible, To Meet The Unique Needs Of Various Course Offerings Ranging From Ordinary Differential Equations To Vector Calculus. Numerous New Projects Contributed By Esteemed Mathematicians Have Been Added. Key Features O The Entire Text Has Been Modernized To Prepare Engineers And Scientists With The Mathematical Skills Required To Meet Current Technological Challenges. O The New Larger Trim Size And 2-Color Design Make The Text A Pleasure To Read And Learn From. O Numerous NEW Engineering And Science Projects Contributed By Top Mathematicians Have Been Added, And Are Tied To Key Mathematical Topics In The Text. O Divided Into Five Major Parts, The Text'S Flexibility Allows Instructors To Customize The Text To Fit Their Needs. The First Eight Chapters Are Ideal For A Complete Short Course In Ordinary Differential Equations. O The Gram-Schmidt Orthogonalization Process Has Been Added In Chapter 7 And Is Used In Subsequent Chapters. O All Figures Now Have Explanatory Captions. Supplements O Complete Instructor'S Solutions: Includes All Solutions To The Exercises Found In The Text. Powerpoint Lecture Slides And Additional Instructor'S Resources Are Available Online. O Student Solutions To Accompany Advanced Engineering Mathematics, Third Edition: This Student Supplement Contains The Answers To Every Third Problem In The Textbook, Allowing Students To Assess Their Progress And Review Key Ideas And Concepts Discussed Throughout The Text. ISBN: 0-7637-4095-0